Question

1/42 over 1/6 = 1/6 over x, x equals

Answer 1

\[\frac{1}{46}\times \frac{6}{1}=\frac{1}{6x}\]

Answer 2

oh wait
\[\frac{\frac{1}{6}}{x}\]?

Answer 3

is that the right hand side?

Answer 4

yes

Answer 5

so it is
\[\frac{6}{46}=\frac{\frac{1}{6}}{x}\]

Answer 6

then solve as a ratio as
\[6x=\frac{1}{6}\times 46\] and then divide by 6 to get
\[x=\frac{46}{36}=\frac{23}{18}\]

Answer 7

still a little lost but thanks for your help

Answer 8

we can go slower if you like

Answer 9

lets start with
\[\frac{\frac{1}{46}}{\frac{1}{6}}\]

Answer 10

oh damn! i have been writing 46 but it is 42. now wonder you are confused!

Answer 11

so answer is wrong but method is right. lets start again

Answer 12

\[\frac{\frac{1}{42}}{\frac{1}{6}}=\frac{1}{42}\times \frac{6}{1}\] because that is how you divide fractions, by multiplying by the reciprocal

Answer 13

so the left hand side of this equation is
\[\frac{6}{42}=\frac{1}{7}\] reduced

Answer 14

so we have now
\[\frac{1}{7}=\frac{\frac{1}{6}}{x}\]

Answer 15

and now we solve this as a ratio by "cross multiplying" so you actually get the answer is one step

Answer 16

\[1\times x = \frac{1}{6}\times 7\]

Answer 17

better written as
\[x=\frac{7}{6}\] sorry about writing 46 instead of 42

Answer 18

i see thanks a lot!!

Answer 19

yw